## About This Tool

The online Sample Mean Calculator is used to calculate the sample mean of a set of numbers.

## Sample Mean

The sample mean is the average of all the items in a sample (a group of observations). The following is the formula for the sample mean x of a set {x_{1}, x_{2}, ..., x_{n}} of *n* observations from a given distribution:

## Sample Mean and Population Mean

The population mean is the average of all the items in a population. Because a population is usually very large or unknown, the population mean is usually an unknown constant. An estimate of the population mean is the sample mean.